ar X iv : h ep - t h / 96 03 11 5 v 1 1 7 M ar 1 99 6 ON PATH INTEGRATION ON NONCOMMUTATIVE GEOMETRIES ∗

ar X iv : h ep - t h / 96 11 04 5 v 1 7 N ov 1 99 6 Multiloop Feynman Integrals in the Worldline Approach ∗

We explain the concept of worldline Green functions on classes of multiloop graphs. The QED β – function and the 2-loop Euler-Heisenberg Lagrangian are discussed for illustration. HD-THEP-96/44 HUB-EP-96/29 ∗Talk presented by M.G.Schmidt at the Dubna Joint Meeting: International Seminar on Path Integrals: Theory and Applications, and 5th International Conference on Path Integrals from meV to Me...

ar X iv : h ep - t h / 06 03 12 5 v 1 1 5 M ar 2 00 6 hep - th / 0603125 ITP – UH – 05 / 06 Noncommutative Instantons on C

We construct explicit solutions of the Hermitian Yang-Mills equations on the noncommutative space C θ . In the commutative limit they coincide with the standard instantons on CP written in local coordinates.

ar X iv : h ep - t h / 97 03 05 4 v 1 6 M ar 1 99 7 Symmetries and the Antibracket : The Batalin - Vilkovisky Method

ar X iv : h ep - t h / 97 03 04 8 v 1 6 M ar 1 99 7 On three dimensional bosonization

We discuss Abelian and non-Abelian three dimensional bosoniza-tion within the path-integral framework. We present a systematic approach leading to the construction of the bosonic action which, together with the bosonization recipe for fermion currents, describes the original fermion system in terms of vector bosons.

ar X iv : h ep - t h / 96 11 04 4 v 1 7 N ov 1 99 6 Relativistic QFTH - Couplings on the Worldline ∗

In the framework of the worldline path integral approach to QFTH we discuss spin and relativistic couplings, in particular Yukawa and axial couplings to spin 1 2 , and the case of spin 1 in the loop. HD-THEP-96/43 HUB-EP-96/28 ∗Talk presented by M.G.Schmidt at the Dubna Joint Meeting: International Seminar on Path Integrals: Theory and Applications, and 5th International Conference on Path Inte...